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A Bicriteria Approximation Algorithm for DVRP with Time Windows

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Combinatorial Optimization and Applications (COCOA 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8881))

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Abstract

In this paper, we study a distance constrained vehicle routing problem with time windows (DVRPTW). DVRPTW is defined as follows: given a metric space on a set of vertices, a release time and a deadline for each vertex, a length bound D, find a minimum cardinality set of tours originating at the depot that covers all vertices, such that each tour has length at most D, and visit as many vertices as possible within their time windows. We give a bicriteria approximation algorithm for DVRPTW on the metric plane, and all the distances satisfy the triangle inequality.

Heijiao Huang: This work was financially supported by National Natural Science Foundation of China with Grants No.11071271, No. 11371004, No. 61100191 and No. 61370216, and Shenzhen Strategic Emerging Industries Program with Grants No. ZDSY20120613125016389, No. JCYJ20120613151201451 and No. JCYJ20130329153215152.

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References

  1. Laporte, G., Desrochers, M., Nobert, Y.: Two exact algorithms for the distance constrained vehicle routing problem. Networks 14, 47–61 (1984)

    Article  MathSciNet  Google Scholar 

  2. Dantzig, G.B., Ramser, J.H.: The truck dispatching problem. Manage. Sci. 6, 80 (1959)

    Article  MATH  MathSciNet  Google Scholar 

  3. Li, C., Simchi-Levi, D., Desrochers, M.: On the distance constrained vehicle routing problem. Oper. Res. 40, 790–799 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  4. Nagarajan, V., Ravi, R.: Approximation algorithms for distance constrained vehicle routing problems. Networks 3, 209–214 (2012)

    Article  MathSciNet  Google Scholar 

  5. Thangiah, S.: Vehicle routing with time windows using genetic algorithms. In: Chambers, L. (ed.) Application Handbook of Genetic Algorithms: New Frontiers, vol. II. CRC Press, Boca Raton (1995)

    Google Scholar 

  6. Bao, X., Liu, Z.: Approximation algorithms for single vehicle scheduling problems with release and service times on a tree or cycle. Theoret. Comput. Sci. 434, 1–10 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  7. Nagamochi, H., Ohnishi, T.: Approximating a vehicle scheduling problem with time windows and handling times. Theoret. Comput. Sci. 393, 133–146 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  8. Karuno, Y., Nagamochi, H.: An approximability result of the multi-vehicle scheduling problem on a path with release and handling times. Theoret. Comput. Sci. 312, 267–280 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  9. Desrochers, M., Desrosiers, J., Solomon, M.: A new optimization algorithm for the vehicle routing problem with time windows. Oper. Res. 40, 342–354 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  10. Savelsbergh, M.: Local search for routing problems with time windows. Ann. Oper. Res. 4, 285–305 (1985)

    Article  MathSciNet  Google Scholar 

  11. Bansal, N., Blum, A., Chawla, S., Meyerson, A.: Approximation algorithms for deadline-TSP and vehicle routing with time-windows. In: STOC ’04 Proceedings of the Thirty-Sixth Annual ACM Symposium on Theory of Computing, pp. 166–174 (2004)

    Google Scholar 

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Correspondence to Hejiao Huang .

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© 2014 Springer International Publishing Switzerland

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Gu, H., Song, L., Huang, H., Du, H. (2014). A Bicriteria Approximation Algorithm for DVRP with Time Windows. In: Zhang, Z., Wu, L., Xu, W., Du, DZ. (eds) Combinatorial Optimization and Applications. COCOA 2014. Lecture Notes in Computer Science(), vol 8881. Springer, Cham. https://doi.org/10.1007/978-3-319-12691-3_18

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  • DOI: https://doi.org/10.1007/978-3-319-12691-3_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-12690-6

  • Online ISBN: 978-3-319-12691-3

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